import java.util.*;
public class Queens {
public static boolean isConsistent(int[] q, int n) {
for (int i = 0; i < n; i++) {
if (q[i] == q[n]) return false; // same column
if ((q[i] - q[n]) == (n - i)) return false; // same major diagonal
if ((q[n] - q[i]) == (n - i)) return false; // same minor diagonal
}
return true;
}
public static void printQueens(int[] q) {
int N = q.length;
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
if (q[i] == j) System.out.print("Q ");
else System.out.print("* ");
}
System.out.println();
}
System.out.println();
}
public static void enumerate(int N) {
int[] a = new int[N];
enumerate(a, 0);
}
public static void enumerate(int[] q, int n) {
int N = q.length;
if (n == N) printQueens(q);
else {
for (int i = 0; i < N; i++) {
q[n] = i;
if (isConsistent(q, n)) enumerate(q, n+1);
}
}
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int N;
System.out.print("Enter number of queens = ");
N = sc.nextInt();
enumerate(N);
}
}
Output
Enter number of queens = 4
* Q * *
* * * Q
Q * * *
* * Q *
* * Q *
Q * * *
* * * Q
* Q * *
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